502.29 is what percent of 3863.74 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 3863.74 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 3863.74, so we can write it down as 100%=3863.74.
4. We know, that x% equals 502.29 of the output value, so we can write it down as x%=502.29.
5. Now we have two simple equations:
1) 100%=3863.74
2) x%=502.29
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3863.74/502.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 502.29 is what percent of 3863.74

100%/x%=3863.74/502.29
(100/x)*x=(3863.74/502.29)*x       - we multiply both sides of the equation by x
100=7.6922494973024*x       - we divide both sides of the equation by (7.6922494973024) to get x
100/7.6922494973024=x
13.000098350303=x
x=13.000098350303

now we have:
502.29 is 13.000098350303% of 3863.74